Trig 1

Question 1

Law if sines

Answer 1

opposite / sin A = opposite / sin B = opposite / sin C

Question 2

Law of cosines

Answer 2

c2 = a2 + b2 − 2ab cos(C)

Question 3

Arcsine(x)

Answer 3

What angle provides a sine(angle) = x?

Question 4

What are the restrictions on domain and range for arcsin? Why?

Answer 4

The domain is the range of sin so -1 to 1. The range is the 1st and 4th quadrant (it was this or the 2nd and 3rd quadrant).

Question 5

What are the restrictions on domain and range for arctan? Why?

Answer 5

The range is the 1st and 4th quadrant (it was this or the 2nd and 3rd quadrant) excluding 90 and -90 as tan is undefined there.

Question 6

What are the restrictions on domain and range for arccosine? Why?

Answer 6

The domain is the range of sin so -1 to 1. The range is the 1st and 2nd quadrant (it was this or the 3rd and 4th quadrant).

Question 7

What is sin(Θ) and cos(Θ) in the unit circle?

Answer 7

Literally x and y.

Question 8

How to find equivalent angle for sine function

Answer 8

sin(Θ) = sin(pi - Θ)

Question 9

How to find equivalent angle for cosine function

Answer 9

cos(Θ) = cos(-Θ)

Question 10

30-60-90 triangle lengths

Answer 10

1, root(3)/2, 1/2

Question 11

45-45-90 triangle lengths

Answer 11

1, root(2)/2, root(2)/2